如图,点P是正方形ABCD内一点,且点P到点A、B、C的距离分别为
、
、4,则正方形ABCD的面积为( )
![](https://img.xkw.com/dksih/QBM/2022/5/31/2991109405704192/2992495892004864/STEM/377b5738-38eb-43bf-ba94-9999b950bd52.png?resizew=131)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://img.xkw.com/dksih/QBM/2022/5/31/2991109405704192/2992495892004864/STEM/377b5738-38eb-43bf-ba94-9999b950bd52.png?resizew=131)
A.![]() | B.![]() | C.12 | D.24 |
更新时间:2022-06-08 16:56:51
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【推荐1】如图,四边形
为菱形,
为
上一点,
的垂直平分线交
于点F,若
,记
的面积最大值为S,周长最小值为l,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/23/5feaea60-7aae-4ba9-8f3e-e799dcbfbc31.jpg?resizew=164)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aa6f89ea44f721efc1418904dd5a389.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c105d6ba18fbb0581fb982175e2eac9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/23/5feaea60-7aae-4ba9-8f3e-e799dcbfbc31.jpg?resizew=164)
A.![]() | B.![]() | C.![]() | D.![]() |
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【推荐2】如图,平面内三点A、B、C,AB=8,AC=6,以BC边为斜边在BC右侧作等腰直角三角形BCD,连接AD,则
的最大值是( )
![](https://img.xkw.com/dksih/QBM/2022/5/3/2971660177768448/2974065916657664/STEM/0854824f-fca7-4952-81ef-7d638fcbd717.png?resizew=196)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4cfe8fdf058994149959f099f7d0aa.png)
![](https://img.xkw.com/dksih/QBM/2022/5/3/2971660177768448/2974065916657664/STEM/0854824f-fca7-4952-81ef-7d638fcbd717.png?resizew=196)
A.98 | B.100 | C.72 | D.70 |
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【推荐1】以下四组代数式作为
的三边:①
(n为正整数);②
(n为正整数);③
(
,n为正整数);④
(
,m,n为正整数).其中能使
为直角三角形的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f94265b06479295892581b6c3e022ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae0eebca7acd5a9e2e520010d08c66ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c156a1d2fa0e6c4b4b61951055f0f477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f628557b18760a519e36cc93abd3f78f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7091d529281abff275ef19b9197445a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.0组 | B.1组 | C.2组 | D.3组 |
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【推荐2】下列各组数中不能作为直角三角形的三边的是( )
A.3、4、5 | B.8、15、17 | C.7、24、25 | D.10、11、12 |
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【推荐1】如图,在正方形
中,
,把边
绕点
逆时针旋转
度得到线段
,连接
并延长交
于点
连接
则线段
的长度为( )
![](https://img.xkw.com/dksih/QBM/2020/5/2/2453897542025216/2454993085120512/STEM/62bdb726-cc5a-49ff-bb4b-17a1c81101d0.png?resizew=113)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a91146605aff8a321203a5907143cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f5c664aa79a88c035d7ece15220a4c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438b26957e0cace29ccb5c2c197a5e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://img.xkw.com/dksih/QBM/2020/5/2/2453897542025216/2454993085120512/STEM/62bdb726-cc5a-49ff-bb4b-17a1c81101d0.png?resizew=113)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
【推荐2】如图,在平面直角坐标系中,将正方形OABC绕点O逆时针旋转45°后得到正方形OA1B1C1,依此方式,绕点O连续旋转2020次得到正方形OA2020B2020C2020,如果点A的坐标为(1,0),那么点B2020的坐标为( )
![](https://img.xkw.com/dksih/QBM/2022/2/8/2912177528446976/2913942034366464/STEM/eb5f7b1e-6089-47dd-9a09-4b9c28753db9.png?resizew=179)
![](https://img.xkw.com/dksih/QBM/2022/2/8/2912177528446976/2913942034366464/STEM/eb5f7b1e-6089-47dd-9a09-4b9c28753db9.png?resizew=179)
A.(﹣1,1) | B.(![]() | C.(﹣1,﹣1) | D.(0,![]() |
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【推荐1】把一副三角板如图甲放置,其中∠ACB=∠DEC=90°,∠A=45°,∠D=30°,斜边AB=6,DC=9,把三角板DCE绕点C顺时针旋转15°得到△D1CE1(如图乙),此时AB与CD1交于点O,则点O到AD1的距离为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/6/7129127c-b962-41c3-9915-a1f2647d71a5.png?resizew=259)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/6/7129127c-b962-41c3-9915-a1f2647d71a5.png?resizew=259)
A.3 | B.![]() | C.![]() | D.![]() |
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【推荐2】如图,在
中,
,
,
,P是
边上一动点,连接
,把线段
绕点A逆时针旋转
到线段
,连接
,则线段
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
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